论文标题

非题转换方法

The Non-Iterative Transformation Method

论文作者

Fazio, Riccardo

论文摘要

Blasius流量是粘性流体的理想化流动,经过无限厚的半无限平板。著名的Blasius问题的非著作转型方法的定义是由于T {Ö} PFER造成的,并在一个多世纪前约会。在这里,我们为带有移动壁,滑动流条件或表面气化的Blasius方程定义了一种非涉及转换方法。定义的方法使我们能够处理边界层理论中的问题类别,这些问题取决于参数,接受多个解决方案。当主要的兴趣对所涉及的参数的行为是对所考虑的模型的行为时,这种方法特别方便。发现获得的数值结果与文献中可用的结果非常吻合。

The Blasius flow is the idealized flow of a viscous fluid past an infinitesimally thick, semi-infinite flat plate. The definition of a non-iterative transformation method for the celebrated Blasius problem is due to T{ö}pfer and dates more than a century ago. Here we define a non-iterative transformation method for Blasius equation with a moving wall, a slip flow condition or a surface gasification. The defined method allows us to deal with classes of problems in boundary layer theory that, depending on a parameter, admit multiple or no solutions. This approach is particularly convenient when the main interest is on the behaviour of the considered models with respect to the involved parameter. The obtained numerical results are found to be in good agreement with those available in literature.

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